λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,910,335
36,910,335
3 × 5 × 7 × 11 × 31957
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 31957
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,631,232
Proper Divisor Sum 36,720,897
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36910327 ← → #36910339

Radix Representation

Decimal 36910335
Binary 10001100110011010011111111 (26 bits)
Octal 0o214632377
Hexadecimal 0x23334FF

Divisor Catalog (32)

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1,155 31,957 95,871 159,785 223,699 351,527 479,355 671,097 1,054,581 1,118,495 1,757,635 2,460,689 3,355,485 5,272,905 7,382,067 12,303,445 36,910,335

Collatz Trajectory (121 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

36,910,335 110,731,006 55,365,503 166,096,510 83,048,255 249,144,766 124,572,383 373,717,150 186,858,575 560,575,726 280,287,863 840,863,590 420,431,795 1,261,295,386 630,647,693 1,891,943,080 945,971,540 472,985,770 236,492,885 709,478,656 354,739,328 177,369,664 88,684,832 44,342,416 22,171,208 11,085,604 5,542,802 2,771,401 8,314,204 4,157,102 2,078,551 6,235,654 3,117,827 9,353,482 4,676,741 14,030,224 7,015,112 3,507,556 1,753,778 876,889 2,630,668 1,315,334 657,667 1,973,002 986,501 2,959,504 1,479,752 739,876 369,938 184,969 554,908 277,454 138,727 416,182 208,091 624,274 312,137 936,412 468,206 234,103

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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